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Question

In the given figure, mEDC=54,mDCA=40. Find x, y and z respectively.


A

20,27,86

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B

40,54,86

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C

20,27,43

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D

40,54,43

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Solution

The correct option is B

40,54,86


m ACD= m DEC
m DEC=x=40
Similarly, m ECB=m EDC
m ECB=y=54
54+x+z=180 (sum of all the angles of a triangle)
54+40+z=180
z=86


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